There are 23 Trophies that can be collected.

Silver

Exercise    
Complete 10 Coin chain jumps.     

Greedy!    
Collect 40 coins in one level on any Kayaking, Biking or Wave Riding level.

Jeweler    
Collect 10 diamonds across all activities.     

Stunt Man    
Finish any Biking level without falling from the bicycle.     

Upright    
Finish any Kayaking level without flipping the kayak.

Speed Wheeler    
Pass Biking 1 under 1 minute 10 seconds.     

Shoot the Rapids    
Pass Kayaking 1 under 1 minute 30 seconds.     

Speed Cruiser    
Pass Wave Riding 1 under 1 minute 30 seconds.     

Flying Fish    
Jump 15 times in Wave Riding 1 or 2.     

Speleologist    
Discover the hidden cave in Biking 1.

Fast Reflexes    
Hit a moving deer target while in Archery 2 or 4.     

Ultimate Combo    
Hit 25 objects in a row in any Skeet level.    

Speed Freak    
Speed boost continuously for an extended period of time in Biking, Kayaking, or Wave Riding.     

Demolition Expert    
Hit all of the dynamite in one level on skeet 1 or 4.     

Golden Fever    
Catch 25 yellow fish in Fishing 1.     

Touchy    
Pass any Wave Riding level without touching a single buoy.     

Explorer    
Destroy all 5 crates in Wave Riding in one run.

Gold

Girlz Rulz!    
Pick a female character and use her to pass all activities at least once.

Camp Star    
Win the Cabela's Cup.

Marksman    
Finish any shooting activity with a full 200 point accuracy bonus.     

Memorizer    
Get through all 10 stages of Hogwhacked.

Speed Ace    
Receive golden medals in all racing activities.

Platinum

Platinum Trophy    
Unlock all other trophies.

http://www.ps3trophies.org/game/cabelas-adventure-camp/trophies/